What is the inverse of f(x)=3log_{4}(x)-5 ?

The inverse of f(x)=3log_{4}(x)-5 is 4^{(x+5)/3}

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inverse of f(x)=3log_{4}(x)-5

inverse

f (x) = 3 lo g_{4} (x) - 5

4^{\frac{x + 5}{3}}

Solution steps

y = 3 lo g_{4} (x) - 5

Replace

x

with

y

x = 3 lo g_{4} (y) - 5

Solve for

y, x = 3 lo g_{4} (y) - 5

4^{\frac{x + 5}{3}}

f (x) = \frac{2 x + 4}{x}

f (x) = arcsin (x - 4)

lo g_{10} (2 - x)

f (x) = λ \cdot e^{λ \cdot x}

f (x) = \frac{1}{3} x^{\frac{3}{2}}

What is the inverse of f(x)=3log_{4}(x)-5 ?
The inverse of f(x)=3log_{4}(x)-5 is 4^{(x+5)/3}